What is the Greatest Common Factor of 52824 and 52831?

Greatest common factor (GCF) of 52824 and 52831 is 1.

GCF(52824,52831) = 1

We will now calculate the prime factors of 52824 and 52831, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52824 and 52831.

How to find the GCF of 52824 and 52831?

We will first find the prime factorization of 52824 and 52831. After we will calculate the factors of 52824 and 52831 and find the biggest common factor number .

Step-1: Prime Factorization of 52824

Prime factors of 52824 are 2, 3, 31, 71. Prime factorization of 52824 in exponential form is:

52824 = 2³ × 3¹ × 31¹ × 71¹

Step-2: Prime Factorization of 52831

Prime factors of 52831 are 23, 2297. Prime factorization of 52831 in exponential form is:

52831 = 23¹ × 2297¹

Step-3: Factors of 52824

List of positive integer factors of 52824 that divides 52824 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 71, 93, 124, 142, 186, 213, 248, 284, 372, 426, 568, 744, 852, 1704, 2201, 4402, 6603, 8804, 13206, 17608, 26412

Step-4: Factors of 52831

List of positive integer factors of 52831 that divides 52824 without a remainder.

1, 23, 2297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52824 and 52831. The biggest common factor number is the GCF number.
So the greatest common factor 52824 and 52831 is 1.

Also check out the Least Common Multiple of 52824 and 52831